Ok now this is different from what I interpreted from your original post.
I as well have run across this on my 01. When it was doing this the most noticeable for me my vp44 went out not too long after (within 6 months). However it would do it cruise on or off and generally only seem to do it when cruising in cold temps. Kinda of like the timing was changing, it was a consistent 1 or 2 second cycle, you couldnt really see the rpms change but you could definitely hear the change. Seemed the colder it was the more pronounced it was. Vp went out that summer and the next winter it wasnt doing it.
Next time it did it it was more random not the same pattern as the first time. Vp went out again replaced it and it still did it but did end up going away on it s own.
Then I started having a miss occassionally and it would set a cam sensor code. RPMs would fluctuate and sometimes would just drop to zero momentarily. Generally it would just miss, but sometimes it would do it really bad. Only seemed to do it at idle or low rpm. I checked and cleaned all the grounds, replaced the cam sensor and no joy, swapped in an ecm again no joy, tested the wires between the cam sensor and the ecm, the ecm and the vp44 for continuity and resistance did dodges super technical wire wiggle test while doing that as well still no joy. Checked the pins on the ends of the harness in the plugs and the ecm plug still nothing. Was finally going to take it to the dealer but was waiting for it get bad enough that it was consistent. Didnt want to pay to hear them say could not duplicate. In any case I was under the hood one day doing oil change etc and remembered reading about the alternator wires causing some people some problems of various sorts. I took a look at them they looked fine but I played with them a bit seperated them apart thinking that was waste of effort. However since that day it has not acted up again. Now my problem was different than yours is now but you might give it a shot seems the alternator wires can give some wierd symptoms.